Lam QUOC ANH, Kien TRUNG NGUYEN, Tran NGOC TAM

5775

On Hölder continuity of approximate solution maps to vector equilibrium problems

In this article, we considerparametric vector equilibrium problems in normed spaces. Sufficientconditions for Hölder continuity of approximate solution mappingswhere they are set-valued are established. As applications of theseresults, the Hölder continuity of the approximate solutionmappings for vector optimization problems and vector variationalinequalities are derived at the end of the paper. Our results arenew and include the existing ones in the literature.
Keywords:

Hölder continuity, approximate solutions, equilibrium problems variational inequalities, optimization problems, fixed point problems,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

Bankteshwar TIWARI, Ghanashyam Kr. PRAJAPATI

Mahmood BIDKHAM, Sara AHAMADI

Muhammad JAVAID

Melih ERYİĞİT, Selim ÇOBANOĞLU

Mustafa DÜLDÜL, Bahar Uyar DÜLDÜL, Nuri KURUOĞLU, Ertuğrul ÖZDAMAR

Universal central extensions of sl(m,n,A)sl(m,n,A) over associative superalgebras

Xabier GARCIA-MARTINEZ, Manuel LADRA

Suresh ELUMALAI, Toufik MANSOUR, Mohammad Ali ROSTAMI

Long WANG, Junchao WEI

Lam QUOC ANH, Kien TRUNG NGUYEN, Tran NGOC TAM

Pınar UGURLU KOWALSKI